-x^2-(3-2x^2)=5

Solution for -x^2-(3-2x^2)=5 equation:

Simplifying
-1x2 + -1(3 + -2x2) = 5
-1x2 + (3 * -1 + -2x2 * -1) = 5
-1x2 + (-3 + 2x2) = 5

Reorder the terms:
-3 + -1x2 + 2x2 = 5

Combine like terms: -1x2 + 2x2 = 1x2
-3 + 1x2 = 5

Solving
-3 + 1x2 = 5

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '3' to each side of the equation.
-3 + 3 + 1x2 = 5 + 3

Combine like terms: -3 + 3 = 0
0 + 1x2 = 5 + 3
1x2 = 5 + 3

Combine like terms: 5 + 3 = 8
1x2 = 8

Divide each side by '1'.
x2 = 8

Simplifying
x2 = 8

Take the square root of each side:
x = {-2.828427125, 2.828427125}